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The Beauty of Fractals: Images of Complex Dynamical Systems 1st Edition

by
Heinz-Otto Peitgen (Author)
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Heinz-Otto Peitgen (Author), P. H. Richter (Author), Peter H. Richter (Author)
4.3 out of 5 stars 9 customer reviews
ISBN-13: 978-0387158518
ISBN-10: 0387158510
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Product Details

  • Hardcover: 199 pages
  • Publisher: Springer-Verlag; 1st edition (January 1987)
  • Language: English
  • ISBN-10: 0387158510
  • ISBN-13: 978-0387158518
  • Product Dimensions: 11.1 x 8.6 x 0.8 inches
  • Shipping Weight: 2.4 pounds
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (9 customer reviews)
  • Amazon Best Sellers Rank: #697,662 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

11 of 11 people found the following review helpful
The Essence of Beauty
By J.C. Hall on May 20, 2002
Format: Hardcover
I spent all last evening reading snippets of The Beauty of Fractals (those few paragraphs that a layman could understand) and admiring the sheer beauty of the diagrams/maps. I had not realised there was an aesthetic component to mathematics, and I certainly did not know that aspects of what is generally thought of as a dry science can be so visually appealing, not to say stunning.
I cannot understand why some people would argue the intrinsic artistic merit of something computer-generated and 'unnatural', when the results speak for themselves.
Beauty, true, is perceived, and lies in the eye of the beholder. It can be very subjective. But there are certain aspects of visual appeal that go beyond that. One would think that a symmetry of form, the complementary use of colours, the balance of shape and form, light and shade, arcs and curves--all these combine to give an objective, irrefutable fact of beauty that transcends thought and emotions, if not the senses.
In a couple of the chapters, it was said, and here I paraphrase:
The two modes of analysis and intuition as human means of understanding the natual world--need they be considered at opposite poles? Do they not complement one another? Are the thinker and the dreamer not one?
I find that very intriguing, just as I find the idea of chaos and order existing together in natural, dynamic processes being actually TYPICAL of Nature.
The word 'Chaos' has such negative connotations, implying confusion and destruction, but if I were to replace it with the word 'Disorder', then things begin to fall into place.
There can be no Order if there were no Disorder, for how then would we know the difference?Read more ›
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7 of 8 people found the following review helpful
Swirly
By Mr. A. Pomeroy on March 14, 2001
Format: Hardcover
Although one of the earliest titles to bring fractals into the mainstream, 'The Beauty of Fractals' isn't as visually exciting as the follow-up, 'Chaos and Fractals', and it's a very dry read - in 1986 complex dynamics were an esoteric field of mathematics that had yet to transfer to student posters and rave videos. At this price it's restricted to people who absolutely need it, although along with 'Godel, Escher, Bach' it's one of the seminal hackish coffee-table books.
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6 of 8 people found the following review helpful
Pretty Pictures,Hard text and No Code!
By A Customer on March 19, 1998
Format: Hardcover
The picture give the wrong impression: this is not a beginner's book. Some of the text is impossible even for experts to understand. There are cvery good articles and necessary data in this book, but for the starting programmer it is just high tone language of professors and frustration. Pictures and references are not everything. Your unique Associates ID is: thefractaltransl.
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Not Studying... Yet
By Bae on February 29, 2012
Format: Hardcover Verified Purchase
Fractals and their prevalence in the universe are amazing. I love the descriptions in this book, and the pictures of course! This book fanned a sparked interest in mathematics. A good bit of the descriptions that I recall took some serious attention to understand the language, so of course I wouldn't recommend it for a 10yo. However, depending on willingness to grasp understanding, this book can be very nice and interesting.
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One of the more important textbook in the subject
By Massimiliano Celaschi on June 22, 2000
Format: Hardcover
A very good work, with wide subjects and deep analysis, not for beginner but you are not required to be a specialist to read it. Even if it shows the structure of lecture notes, it maintains a strong cohesion, embracing in a single context different fields, such as computer graphics and statistical physics.
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